Browsing by Author "Singh, Y. Mahendra"

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Coupled Fixed Points in Complex Partial Metric Spaces
(int Scientific Research Publications, 2022) Khan, M. S.; Singh, Y. Mahendra; Tas, Kenan; Gunaseelan, M.
In this paper, we obtain coupled fixed point theorems in complex partial metric spaces under the different contractive conditions. Examples are provided to support our results.
ON THE INTERPOLATIVE (phi, psi)-TYPE Z-CONTRACTION
(2021) Khan, Mohammad S.; Singh, Y. Mahendra; Karapınar, Erdal
In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.
Citation - WoS: 23
Citation - Scopus: 33
On the Interpolative (Φ, Ψ)-Type Z-Contraction
(Univ Politehnica Bucharest, Sci Bull, 2021) Khan, Mohammad S.; Singh, Y. Mahendra; Karapinar, Erdal
In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.